Optimum and other response surface designs. Comments on “Response Surface Design Evaluation and Comparison” by Anderson-Cook, Borror and Montgomery

2009 ◽  
Vol 139 (2) ◽  
pp. 662-668
Author(s):  
Anthony C. Atkinson
Keyword(s):  
Response Surface ◽  
Design Evaluation ◽  
Response Surface Design ◽  
Surface Design ◽  
Response Surface Designs

Response surface design evaluation and comparison

2009 ◽  
Vol 139 (2) ◽  
pp. 629-641 ◽  
Author(s):  
Christine M. Anderson-Cook ◽  
Connie M. Borror ◽  
Douglas C. Montgomery
Keyword(s):  
Response Surface ◽  
Design Evaluation ◽  
Response Surface Design ◽  
Surface Design

scholarly journals Second Order Slope Rotatable Designs under Tri-diagonal Correlation Structure of Errors Using a Pair of Incomplete Block Designs

2020 ◽  
pp. 1-11
Author(s):  
B. Sulochana ◽  
B. Re. Victorbabu
Keyword(s):  
Response Surface ◽  
Design Criterion ◽  
Second Order ◽  
Correlation Structure ◽  
Block Designs ◽  
Response Surface Design ◽  
Surface Design ◽  
Response Surface Designs ◽  
Block Sizes ◽  
Important Design

Box and Hunter [1] introduced the concept of rotatability for response surface designs. The concept of slope-rotatability was introduced by Hader and Park [2] as an analogous to rotatability property, which is an important design criterion for response surface design. Slope-rotatable design is that of which the variance of partial derivative is a function of distance from the design (d). Recently, a few measures of slope-rotatability for a given response surface design was introduced. In this paper, a new method of slope rotatability for second order response surface designs under tri-diagonal correlation structure of errors using a pair of symmetrical unequal block arrangements with two unequal block sizes is studied. Further, a study on the dependence of variance function of the second order response surface at different design points for different values of tri-diagonal correlation coefficient ρ which lies between -0.9 to 0.9 and the distance from centre (d) is suggested.

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